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Finding the Fourth Proportional to 2,199.47, 3,299.21 and 533.59

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Solution

The fourth proportional to 2,199.47, 3,299.21 and 533.59 is: 800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.47 : 3,299.21 = 533.59 : x
  2. Step 2: Convert to fraction form
    2,199.47/3,299.21 = 533.59/x
  3. Step 3: Cross multiply
    2,199.47x = 3,299.21 × 533.59
  4. Step 4: Simplify right side
    2,199.47x = 1,760,438.11
  5. Step 5: Solve for x
    x = 1,760,438.11/2,199.47
  6. Step 6: Final answer
    x = 800.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.